Vygantas Paulauskas

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Meat of domestic pigs and wild boars has been the significant source of emerged human trichinellosis in Lithuania, Latvia, and Estonia over the past two decades. However, there is very little known on the occurrence of Trichinella spp. in main wildlife reservoirs and its transmission in domestic and sylvatic cycles in these countries. The present study(More)
Multidimensional stable laws Gα admit a well-known Lévy–LePage series representation Gα = L ( ∞ ∑ j=1 Γ −1/α j Xj ) , 0 < α < 2, where Γ1,Γ2, . . . are the successive times of jumps of a standard Poisson process, and X1, X2, . . . denote i.i.d. random vectors, independent of Γ1,Γ2, . . . We present (asymptotically) optimal bounds for the total variation(More)
In the paper a distribution function of a sum of independent non-identically distributed bivariate random vectors is approximated by distribution function of a stable vector and the accuracy of such approximation is estimated. The obtained general result is only a little bit worse when compared with known estimates for the case of multivariate independent(More)
In this paper we analyze Cantor type sets constructed by the removal of open intervals whose lengths are the terms of the p-sequence, {k−p}∞k=1. We prove that these Cantor sets are s-sets, by providing sharp estimates of their Hausdorff measure and dimension. Sets of similar structure arise when studying the set of extremal points of the boundaries of the(More)
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